What is the Greatest Common Factor of 57144 and 57159?

Greatest common factor (GCF) of 57144 and 57159 is 3.

GCF(57144,57159) = 3

We will now calculate the prime factors of 57144 and 57159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57144 and 57159.

How to find the GCF of 57144 and 57159?

We will first find the prime factorization of 57144 and 57159. After we will calculate the factors of 57144 and 57159 and find the biggest common factor number .

Step-1: Prime Factorization of 57144

Prime factors of 57144 are 2, 3, 2381. Prime factorization of 57144 in exponential form is:

57144 = 2³ × 3¹ × 2381¹

Step-2: Prime Factorization of 57159

Prime factors of 57159 are 3, 29, 73. Prime factorization of 57159 in exponential form is:

57159 = 3³ × 29¹ × 73¹

Step-3: Factors of 57144

List of positive integer factors of 57144 that divides 57144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2381, 4762, 7143, 9524, 14286, 19048, 28572

Step-4: Factors of 57159

List of positive integer factors of 57159 that divides 57144 without a remainder.

1, 3, 9, 27, 29, 73, 87, 219, 261, 657, 783, 1971, 2117, 6351, 19053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57144 and 57159. The biggest common factor number is the GCF number.
So the greatest common factor 57144 and 57159 is 3.

Also check out the Least Common Multiple of 57144 and 57159